001
002
003
004
005
006
007
008
009
010
011
012
013
014
015
016
017
018
019
020
021
022
023
024
025
026
027
028
029
030
031
032
033
034
035
036
037
038
039
040
041
042
043
044
045
046
047
048
049
050
051
052
053
054
055
056
057
058
059
060
061
062
063
064
065
066
067
068
069
070
071
072
073
074
075
076
077
078
079
080
081
082
083
084
085
086
087
088
089
090
091
092
093
094
095
096
097
098
099
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
|
package algs11;
import stdlib.*;
import java.util.Arrays;
/* ***********************************************************************
* Compilation: javac BinarySearch.java
* Execution: java BinarySearch whitelist.txt input.txt
* Data files: http://algs4.cs.princeton.edu/11model/tinyW.txt
* http://algs4.cs.princeton.edu/11model/tinyT.txt
* http://algs4.cs.princeton.edu/11model/largeW.txt
* http://algs4.cs.princeton.edu/11model/largeT.txt
*
* % java BinarySearch tinyW.txt tinyT.txt
* 50
* 99
* 13
*
* % java BinarySearch largeW.txt largeT.txt
* 499569
* 984875
* 295754
* 207807
* 140925
* 161828
* [3,675,966 total values]
*
*************************************************************************/
public class BinarySearch {
// This is a simple rank function
// It works fine for small arrays
public static int rank0(double key, double[] a) {
for (int i = 0; i < a.length; i++)
if (a[i] == key) return i;
return -1;
}
// Here is more efficient version, coded three ways
// precondition: array a[] is sorted
public static int rank(double key, double[] a) {
return rankHelper1 (key, a, 0, a.length - 1);
}
// Here is a standard
public static int rankHelper1(double key, double[] a, int lo, int hi) {
// key is in a[lo..hi] or not present.
if (lo > hi) return -1;
int mid = lo + (hi - lo) / 2;
if (key < a[mid]) return rankHelper1 (key, a, lo, mid - 1);
else if (key > a[mid]) return rankHelper1 (key, a, mid + 1, hi);
else return mid;
}
// This is the same, but uses a loop
public static int rankHelper2(double key, double[] a, int lo, int hi) {
while (lo <= hi) {
// key is in a[lo..hi] or not present.
int mid = lo + (hi - lo) / 2;
if (key < a[mid]) hi = mid - 1;
else if (key > a[mid]) lo = mid + 1;
else return mid;
}
return -1;
}
// This is the same, but written with explicit variables
public static int rankHelper3(double key, double[] a, int lo, int hi) {
if (lo > hi) return -1;
int result;
int mid = lo + (hi - lo) / 2;
if (key < a[mid])
result = rankHelper3 (key, a, lo, mid - 1);
else if (key > a[mid])
result = rankHelper3 (key, a, mid + 1, hi);
else
result = mid;
return result;
}
public static void testTrace(String whitelistFile, int key) {
// get whitelist from file and sort
double[] whitelist = new In(whitelistFile).readAllDoubles();
Arrays.sort(whitelist);
StdOut.println(Arrays.toString(whitelist));
int rank = rank(key, whitelist);
if (rank >= 0) {
StdOut.println(key + " is in the list");
} else {
StdOut.println(key + " is NOT in the list");
}
}
public static void testInteractive(String whitelistFile) {
// get whitelist from file and sort
double[] whitelist = new In(whitelistFile).readAllDoubles();
Arrays.sort(whitelist);
StdOut.println(Arrays.toString(whitelist));
// read from the console; type Control-D or Control-Z at the beginning of a blank line to stop.
StdOut.print("Enter a number: ");
while (!StdIn.isEmpty()) {
int key = StdIn.readInt();
int rank = rank(key, whitelist);
StdOut.format("%d %s in the list\n", key, (rank >= 0) ? "is" : "is not");
StdOut.print("Enter a number: ");
}
}
public static void testPerformance(String whitelistFile, String keyFile) {
// get whitelist from file and sort
double[] whitelist = new In(whitelistFile).readAllDoubles();
Arrays.sort(whitelist);
// open key file and start timer
double[] keys = new In (keyFile).readAllDoubles();
Stopwatch sw = new Stopwatch();
// count number of data entries in the whitelist
int count = 0;
for (double key : keys) {
if (rank0(key, whitelist) == -1) {
//StdOut.println(key); // print to see the data, comment out for performance
count = count + 1;
}
}
StdOut.format ("%d misses\n%f seconds\n", count, sw.elapsedTime ());
}
public static void main(String[] args) {
testInteractive("data/tinyW.txt");
//testTrace("data/tinyW.txt", 28);
//testPerformance("data/tinyW.txt", "data/tinyT.txt");
//testPerformance("data/largeW.txt", "data/largeT.txt");
// The following lines show why mid is computed as it is
//int hi = 2_000_000_010;
//int lo = 2_000_000_005;
//StdOut.format ("(hi+lo)/2 = %,d\n", (hi+lo)/2);
//StdOut.format ("lo+(hi-lo)/2 = %,d\n", lo+(hi-lo)/2);
// Similar things happen when using bit shifting
//StdOut.format ("(hi+lo)>>1 = %,d\n", (hi+lo)>>1);
//StdOut.format ("(hi+lo)>>>1 = %,d\n", (hi+lo)>>>1);
}
}
|